New analytical and numerical solutions for the fractional differential heat-like equation

Authors

  • Nadia Enad Education Directorate of Thi-Qar, Ministry of Education, Nasiriyah 64001, Iraq

DOI:

https://doi.org/10.32792/jeps.v14i4.529

Abstract

Many researchers have been interested in the study of differential equations, and they have presented many ways to solve them, including exact, approximate, and numerical methods. This paper presented a new iterative method for solving ordinary differential equations (ODEs). This method is based on the concept of Maclaurin expansion, the algorithm of the method was derived, and the convergence of the method was also studied, in addition to applying the method to solve linear, nonlinear, homogeneous, and nonhomogeneous ordinary differential equations of different orders. In the end, the method effectively solved the equations and the approximate solutions obtained by the new method converged to the exact solution.

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Published

2024-12-01

Issue

Vol. 14 No. 4 (2024): JOURNAL OF EDUCATION FOR PURE SCIENCE- UNIVERSITY OF THI-QAR

Section

Articles

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